• 제목/요약/키워드: Optimal problem

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조립수율을 고려한 공차할당 및 가공중심 결정 (Tolerance allotment with Design Centering considering Assembly Yield)

  • 이진구
    • 한국생산제조학회지
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    • 제9권1호
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    • pp.45-52
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    • 2000
  • The purpose of this research was developing an integrated way to solve two typical tolerance optimization problem i.e. optimal tolerance allotment and design centering. A new problem definition design centering-tolerance allotment problem (DCTA) was proposed here for the first time and solved. Genetic algorithm and coarse Monte Carlo simulation were used to solve the stochastic optimization problem. Optimal costs were compared with the costs from the previous optimization strategies Significant cost reductions were achieved by DCTA scheme.

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최소절단손실(最小切斷損失)에 의한 최적생산(最適生産)길이의 선정(選定)에 대한 동적계획법응용(動的計劃法應用) (An Application of Dynamic Programming to the Selection of Optimal Production Lengths Based on the Minimum Cutting Loss)

  • 조규갑
    • 대한산업공학회지
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    • 제4권2호
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    • pp.77-81
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    • 1978
  • The assortment problem with deterministic demand has been formulated so that a dynamic programming can be applied to find optimal production lengths that will minimize the sum of cutting losses. The original minimization problem can be reformulated as the maximization problem with a different objective function. This problem can be solved by the dynamic programming technique. A numerical example illustrates this approach. The ratio of computation amount of emumeration method to that of this dynamic programming is approximately n to 1.

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HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM

  • Beygmohammadi, Maryam;Sweers, Guido
    • 대한수학회지
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    • 제54권1호
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    • pp.249-265
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    • 2017
  • Interface problem here refers to a second order elliptic problem with a discontinuous coefficient for the second order derivatives. For the corresponding boundary value problem, the maximum principle still holds but Hopf's boundary point lemma may fail. We will give an optimal power type estimate that replaces Hopf's lemma at those boundary points, where this coefficient jumps.

LQG/LTR with NMP plant

  • Kang, Jin-Shig;Suh, Byung-Sul
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.847-851
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    • 1990
  • In this paper we present a method of reducing controller design problem from LQG/LTR approach to H.inf. optimization. The condition of the existance of the optimal solution is derived. In order to derive the controller equation for NMP plant we reduce the H.inf. LTR problem to Nehari's extension problem and derive the optimal controller equation which is best approximation for this problem. Furthermore, we show that the controller obtained by presented method guarantee the asymptotic LTR condition and stability of closed loop system.

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하이브리드 병렬 유전자 알고리즘을 이용한 최적 신뢰도-중복 할당 문제 (An Optimal Reliability-Redundancy Allocation Problem by using Hybrid Parallel Genetic Algorithm)

  • 김기태;전건욱
    • 산업공학
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    • 제23권2호
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    • pp.147-155
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    • 2010
  • Reliability allocation is defined as a problem of determination of the reliability for subsystems and components to achieve target system reliability. The determination of both optimal component reliability and the number of component redundancy allowing mixed components to maximize the system reliability under resource constraints is called reliability-redundancy allocation problem(RAP). The main objective of this study is to suggest a mathematical programming model and a hybrid parallel genetic algorithm(HPGA) for reliability-redundancy allocation problem that decides both optimal component reliability and the number of component redundancy to maximize the system reliability under cost and weight constraints. The global optimal solutions of each example are obtained by using CPLEX 11.1. The component structure, reliability, cost, and weight were computed by using HPGA and compared the results of existing metaheuristic such as Genetic Algoritm(GA), Tabu Search(TS), Ant Colony Optimization(ACO), Immune Algorithm(IA) and also evaluated performance of HPGA. The result of suggested algorithm gives the same or better solutions when compared with existing algorithms, because the suggested algorithm could paratactically evolved by operating several sub-populations and improve solution through swap, 2-opt, and interchange processes. In order to calculate the improvement of reliability for existing studies and suggested algorithm, a maximum possible improvement(MPI) was applied in this study.

초기 운전점 선정을 통한 배전계통 최적 재구성에 관한 연구 (A study of Optimal Reconfiguration in Distribution Power System using Initial Operating Point)

  • 서규석;김정년;백영식
    • 전기학회논문지
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    • 제56권3호
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    • pp.451-456
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    • 2007
  • This paper presents a problem that reconfigure distribution power system using branch exchange method. Optimal reconfiguration problem calculates line loss, voltage condition about system states of all situations that become different according to line On/off status, and search for optimum composition of these. However, result is difficult to be calculated fast. Because radiated operation condition of system is satisfied using many connection and sectionalize switches in the distribution power system. Therefore, in this paper, optimization method for reducing system total loss and satisfying operating condition of radial and constraints condition of voltage is proposed using the fastest branch exchange. And optimal solution at branch exchange algorithm can be wrong estimated to local optimal solution according to initial operating state. Considering this particular, an initial operating point algorithm is added and this paper showed that optimal solution arrives at global optimal solution.

투자와 회수를 고려한 기업의 최적 현금 관리 (Optimal Control for Cash Management with Investment and Retrieval)

  • 김은갑;변진호;배재현
    • 산업공학
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    • 제24권4호
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    • pp.396-407
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    • 2011
  • We develop a cash management model in which firms face randomly occurred investment projects and retrieve investments upon the maturity of these projects. Using the Markov Decision Problem approach, we examine a control policy which dynamically adjusts the cash balance under the discounted cost criterion. The existence of an optimal policy is shown under some conditions. The optimal solution procedure is developed to find the optimal points and the optimal sizes for adjusting the cash balance. In numerical experiment, we investigate important structural properties of the optimal cash management policy.

Optimal Underwater Coverage of a Cellular Region by Autonomous Underwater Vehicle Using Line Sweep Motion

  • Choi, Myoung-Hwan
    • Journal of Electrical Engineering and Technology
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    • 제7권6호
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    • pp.1023-1033
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    • 2012
  • An underwater planar covering problem is studied where the coverage region consists of polygonal cells, and line sweep motion is used for coverage. In many subsea applications, sidescan sonar has become a common tool, and the sidescan sonar data is meaningful only when the sonar is moving in a straight line. This work studies the optimal line sweep coverage where the sweep paths of the cells consist of straight lines and no turn is allowed inside the cell. An optimal line sweep coverage solution is presented when the line sweep path is parallel to an edge of the cell boundary. The total time to complete the coverage task is minimized. A unique contribution of this work is that the optimal sequence of cell visits is computed in addition to the optimal line sweep paths and the optimal cell decomposition.

Relay Selection Scheme Based on Quantum Differential Evolution Algorithm in Relay Networks

  • Gao, Hongyuan;Zhang, Shibo;Du, Yanan;Wang, Yu;Diao, Ming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권7호
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    • pp.3501-3523
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    • 2017
  • It is a classical integer optimization difficulty to design an optimal selection scheme in cooperative relay networks considering co-channel interference (CCI). In this paper, we solve single-objective and multi-objective relay selection problem. For the single-objective relay selection problem, in order to attain optimal system performance of cooperative relay network, a novel quantum differential evolutionary algorithm (QDEA) is proposed to resolve the optimization difficulty of optimal relay selection, and the proposed optimal relay selection scheme is called as optimal relay selection based on quantum differential evolutionary algorithm (QDEA). The proposed QDEA combines the advantages of quantum computing theory and differential evolutionary algorithm (DEA) to improve exploring and exploiting potency of DEA. So QDEA has the capability to find the optimal relay selection scheme in cooperative relay networks. For the multi-objective relay selection problem, we propose a novel non-dominated sorting quantum differential evolutionary algorithm (NSQDEA) to solve the relay selection problem which considers two objectives. Simulation results indicate that the proposed relay selection scheme based on QDEA is superior to other intelligent relay selection schemes based on differential evolutionary algorithm, artificial bee colony optimization and quantum bee colony optimization in terms of convergence speed and accuracy for the single-objective relay selection problem. Meanwhile, the simulation results also show that the proposed relay selection scheme based on NSQDEA has a good performance on multi-objective relay selection.

Combined Optimal Design of Robust Control System and Structure System for Truss Structure with Collocated Sensors and Actuators

  • Park, Jung-Hyen
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권2호
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    • pp.15-21
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    • 2002
  • A control-structure combined optimal design problem is discussed taking a 3-D truss structure as a design object. We use descriptor forms for a controlled object and a generalized plant because the structural parameters appear naturally in these farms. We consider not only minimum weight design problem for structure system, but also suppression problem of the effect of disturbances for control system as the purpose of the design. A numerical example shows the validity of combined optimal design of structure and control systems. We also consider the validity of sensor-actuator collocation for control system design in this paper.